Permeability of self-affine rough fractures

Details Permeability of self-affine rough fractures Permeability of self-affine rough fractures

2000-06-19

arxiv.org/abs/cond-mat/0006287v1

Phys. Rev. E, 62, 8076 (2000)

Physics

Condensed Matter

Statistical Mechanics

11 pages, 9 figures

Scientific paper

10.1103/PhysRevE.62.8076

The permeability of two-dimensional fractures with self-affine fractal roughness is studied via analytic arguments and numerical simulations. The limit where the roughness amplitude is small compared with average fracture aperture is analyzed by a perturbation method, while in the opposite case of narrow aperture, we use heuristic arguments based on lubrication theory. Numerical simulations, using the lattice Boltzmann method, are used to examine the complete range of aperture sizes, and confirm the analytic arguments.

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